What would an optimal curriculum in pure mathematics look like?

They must really like snakes if they edge of his clothes says sssssssss

>>8655048
I deff think they should be combining math with data science and CS some probably do

>>8655048
Addition -> Subtraction -> Multiplication -> Division

everything else is useless academic wank you'll never need in real life

>>8655048
2-3 courses per semseter

Take if needed:
>Intro Formal Math (i.e. Proofs, Numbers, Sets, etc.)

Semester 1:
>Classical Real Analysis (i.e. Calculus w/ proofs + construction of reals)
>Linear Algebra

Semester 2:
>Group Theory
>General Topology

Semester 3:
>Analysis on Manifolds
>Field Theory
>Number Theory

Semester 4:
>Complex Analysis
>Commutative Algebra (Rings and Modules)
>Axiomatic Set Theory

Semester 5:
>Modern Real Analysis 1(i.e. Lebesgue Integral on R^n)
>Homological Algebra
>Riemmanian Geometry

Semester 6:
>Modern Real Analysis 2(i.e. Lebesgue Integral on general measure spaces)
>Algebraic Topology
>Probability Theory (using all the good measure theory stuff)

Semester 7:
>Functional Analysis
>Algebraic Geometry (Varieties, Schemes, and Sheaf Cohomology)
>Elective

Semester 8:
>Elective
>Elective
>Elective
I think this gives a fairly balanced curriculum.

>>8655090
+10 for probability theory after measure theory.

>>8655062
Kill yourself

>>8655090
Actually not a bad list

>>8655173
Care to make your own?

>>8655065
When did you need divisioin real life?

>>8655065
>you'll never need in real life
Unless you want to have a decent job and make money you really don't need it.

>>8655090
>modern algebra split into three separate courses
>another homological algebra course
>and then algebraic geometry
Algebraist spotted

>>8655196
I'm sure lawyers, rich Washington politicians, humanities professors at top schools, and score more such examples all know advanced math. Right? Or are they all impoverished, innumerate paupers by your reasoning?

>>8655090
wheres ODE, PDE and combinatorics?

>>8655202
It is all balanced.

Algebra:
-Linear Algebra
-Group Theory
-Field Theory
-Commutative Algebra
-Homological Algebra
-Algebraic Topology
-Algebraic Geometry

Analysis:
-Classical Real Analysis
-Analysis on Manifolds
-Complex Analysis
-Modern Real Analysis 1
-Modern Real Analysis 2
-Functional Analysis
-Riemannian Geometry


>>8655208
Leave them for electives. PDE really shouldn't be taken until after Functional Analysis and Modern Real Analysis anyway.

File: Math 4.png (27KB, 658x642px) Image search: [Google]

27KB, 658x642px

>>8655048

>>8655062
>>>/g/tfo

File: kurt-godel-1.jpg (14KB, 250x354px) Image search: [Google]

14KB, 250x354px

>>8655231
Missing a few subfields, anon?

>>8655238
>>Axiomatic Set Theory
Leave all the autism for that course.

16 semesters of calculus of variations

>>8655065
Is as understand probabilités and percentages too.